Magsb816 im waiting for you!

Answer:

0.1

Step-by-step explanation:

Just take 24/24 which is 1 and move the decimal one place to the left because there is an extra 0 on the denominator

Answer:

A likelihood of 1 is also known as the Discrete probability distribution

A and B have the same elements, the measure of AUB will be equal to the measure of B.

To show that if m*(A) = 0, then m*(AUB) = m*(B), we need to prove the following:
1. If m*(A) = 0, then A is a null set.
2. If A is a null set, then AUB = B.
3. If AUB = B, then m*(AUB) = m*(B).
Let's break down each step:
1. If m*(A) = 0, then A is a null set:
  - By definition, a null set has a measure of 0.
  - Since m*(A) = 0, it implies that A has no elements or its measure is 0.
  - Therefore, A is a null set.
2. If A is a null set, then AUB = B:
  - Since A is a null set, it means that it has no elements or its measure is 0.
  - In set theory, the union of a null set (A) with any set (B) results in B.
  - Therefore, AUB = B.
3. If AUB = B, then m*(AUB) = m*(B):
  - Since AUB = B, it implies that both sets have the same elements.
  - The measure of a set is defined as the sum of the measures of its individual elements.
  - Since A and B have the same elements, the measure of AUB will be equal to the measure of B.
  - Therefore, m*(AUB) = m*(B).
By proving these three steps, we have shown that if m*(A) = 0, then m*(AUB) = m*(B).

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Answer:

angle HMS = 62 degrees

x = 13 degrees

AT = 28

Step-by-step explanation:

angle SHM and angle HMS are both inside the triangle SMH.

We want to find the angle of HMS. We know that the sum of the angles in the triangle adds up to 180 degrees. There are two angles that we already know.

Angle SHM = 28 (given)

Angle HSM = 90 (because it is a right angle which is always 90 degrees, right angles are formed at two perpendicular lines)

Angle HMS = x (we let angle HMS be a variable as we don't know the value for it)

x + 90 + 28 = 180

x = 62 ddegrees

HMS is 62 degrees

TSA is a right angle in triangle AST because it is formed by two perpendicular lines. Right angles always equal 90 degrees.

10x - 40 = 90

10x = 130

x = 13 degrees

AT and HT are both congruent sides. We know this because the figure we are given is a kite. In a kite, we have two pairs of sides that are congruent to each other.  HT is congruent to AT while HM is congruent to AM.

So,

8x - 4 = 2x + 20

Subtraact 2 x from both sides

6x - 4 = 20

Add 4 to both sides

6x = 24

Divide 6 on both sides.

x = 4

Plug x back to AT.

AT = 2(4) + 20 = 28

The expression (3⁴)² in repeated multiplication is (3⁴) * (3⁴)

From the question. the expression is given as

(3⁴)²

The task is that we rewrite the expression as products i.e. repeated multiplication

This in other words means that:

We rewrite the (3⁴)² as repeated multiplication

To do this, we apply the exponent rule of indices

This rule states that:

a^m = a * a * a .... in m places

So, we have

(3⁴)² = (3⁴) * (3⁴)

Hence, the equivalent expression is (3⁴) * (3⁴)

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Answer: The answer is b !

Image attached should help

The line of best fit is:

y = 3.1x + 12.9

Option A is the correct answer.

We have,

The line of best fit can be expressed in the form of y = ax + b,

where a is the slope of the line and b is the y-intercept.

From the given LinReg results, we have:

a = 3.1

b = 12.9

Substituting a and b in the equation y = ax + b we get,

The line of best fit is:

y = 3.1x + 12.9

Thus,

The line of best fit is:

y = 3.1x + 12.9

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The radius of the circle which is overlapping the square is 1.12.

The length of side of the square is 2. Let us say that the radius of the circle is R.

The circle and the square are overlapping on each other.

The area of the region that are outside the circle but inside the square are equal to the area of the region which are inside the circle but outside the square.

Let us name the area of the region that are outside the circle but inside the square as M.

Let us name the area of the region which are inside the circle but outside the square as N.

Let us say that the area that is common in both is C.

The area of the square is 4.

So, according to the question,

M + C = 4

And,

N + C = πR²

And we know, M = N,

So,

C - πR² = C - 4

R = 2/√π

R = 1.12.

So, the radius of the circle is 1.12

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Answer:

A

Step-by-step explanation:

If you input 20 for x & add it up you will get 60 degrees for both angles.

This is correct because vertical angles are always congruent

Answer:

x = 20

Step-by-step explanation:

The angles are vertical angles which means they are equal

x+40 = 3x

Subtract x from each side

x+40-x = 3x-x

40 = 2x

Divide by 2

40/2 = 2x/2

20 =x

Carol's rule states that each number in the sequence is the sum of the two previous numbers.

To find the missing numbers in the sequence, we need to apply this rule by adding the two previous numbers together. By continuing to apply Carol's rule, we can find more numbers in the sequence.

The sequence of numbers given follows a specific rule provided by Carol, which states that each number is the sum of the two previous numbers. Therefore, to find the missing numbers in the sequence, we need to apply Carol's rule.

Starting with the given sequence, we have:

0, 1, 1, 2, 3, 5, 8, ...

To find the next number in the sequence, we add the two previous numbers:

0 + 1 = 1

1 + 1 = 2

1 + 2 = 3

2 + 3 = 5

3 + 5 = 8

5 + 8 = 13

Therefore, the next three numbers in the sequence are 13, 21, and 34. We can continue applying Carol's rule to find more numbers in the sequence.

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real question:

Mr. Wilson is building a swimming pool in his backyard. The width of the pool is twice the depth and the length of the pool is 3 feet

longer than the width.

Which of the following statements is true?

The monomial 3d represents the length of the swimming pool.

The trinomial 2d3 +3d2+1 represents the volume of the swimming pool.

The binomial 6d3 + 4d2 represents the volume of the swimming pool.

The binomial 2d + 3 represents the length of the swimming pool.​

Answer:

The binomial 2d + 3 represents the length of the swimming pool

Step-by-step explanation:

Let

l ----> the length of the swimming pool

w ---> the with of the swimming pool

d ---> the depth of the swimming pool

we know that

w=2d -----> equation A

l=w+3 ----> equation B

substitute equation A in equation B

l=2d+3 -----> equation C

The volume of the swimming pool is equal to

v=lwd

Substitute equation A and equation C in the formula of Volume

v+(2d+3)(2d)d

v=4d^3+6d^2

therefore

The binomial 2d + 3 represents the length of the swimming pool (equation C)

Hope this helps!! also, can I have Brainliest please?

The level of measurement that is appropriate for a classification where students are asked to rank their professors as good, average, or poor is the ordinal level of measurement.

Ordinal level of measurement is a statistical measurement level.

It involves dividing data into ordered categories.

For instance, when asked to rank teachers as good, average, or poor, the students' rating of the teachers falls under the ordinal level of measurement.

The fundamental characteristic of ordinal data is that it can be sorted in an increasing or decreasing order.

The numerical values of the categories are not comparable; instead, the categories are arranged in a specific order.

The ordinal level of measurement, for example, provides the order of the data but not the size of the intervals between the ordered values or categories.

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Answer:

4.2

Step-by-step explanation:

took a bullet for the team

Elizabeth would need an interest rate of 4.25% to make a profit of $670, to the closest hundredth of a percent.

The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest. A = P(1 + r/n)^nt, where P is the principal balance, r is the interest rate, n is the number of times interest is compounded annually, and t is the number of years, which is the formula for compound interest.

Given, Elizabeth is going to invest $480 and leave it in an account for 8 years.

from the formula of compound interest

A = P(1 + r/n) ^nt

in our case,

A =670

P = 480

t = 8

Thus,

670 = 480(1 + r)^8

r = 4.25%

Therefore, an interest rate, to the nearest tenth of a percent, would be 4.25% required in order for Elizabeth to end up with $670

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The dοmain οf the functiοn f(x) =  {- 3, - 1, 0 2, 4}. Yes, because for each input there is exactly one output.

Suppοse we have an οrdered pair (x, y) then the dοmain οf the functiοn is the set οf values οf x and the range is the set οf values οf y fοr which x  is defined.

Given, The graph represents a relatiοn where x represents the independent variable and y represents the dependent variable.

The οrdered pairs are given by, (- 3, 4), (- 1, 1), (0, - 2), (2, 0), and (4, - 1).

We knοw the dοmain οf the functiοn are all the x cοοrdinates.

Therefοre, The dοmain οf the functiοn f(x) = {- 3, - 1, 0 2, 4}.

Yes, because for each input there is exactly one output.

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( x + 2√3i ) (  x - 2√3i ) is equivalent to this polynomial .

What is polynomial in maths?

A polynomial is an expression in mathematics made up of variables (also known as indeterminates) and coefficients, and it only uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of the variables.

                     Using mathematical operations like addition, subtraction, multiplication, and division, a polynomial is an equation made up of variables, constants, and exponents (No division operation by a variable).

( x + 2√3i ) (  x - 2√3i )

= x² - ( 2√3i)²

= x² - 12 * ( -1)

= x²  + 12

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The complete question is -

Which expression is equivalent to this polynomial? x2 +12

Using Proportion formula,

the proportion that could be used to predict the number of girls taking classes at the school is 3:4

the number of girls takon class at scool is 177.

Proportion :

A proportion is simply an equation that equates two ratios.For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 ..

We have given that,

For every three girls taking class , there are 4 boys who taking class in school .

so, ratio of girls to boys who are taking classes at school is 3:4

let x be an integer which used to find out actual number of girls taking classes.

then, the number of girls taking classes is 3x and boys 4x but we have

total number of boys who are taking classes at school = 236

i.e , 4x = 236 => x = 59

the number of girls taking classes at school = 3x

= 3×59 = 177

total number of students who are taking classes at school= 177+236 = 403

Hence, the proportion girls who are taking classes to boys who are taking classes is 3:4

and number of girls taking classes at school = 177

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Answer:

1. The formula for finding the surface area of a cylinder is:

Surface Area = 2πr(r + h)

Where:

* `r` is the radius of the cylinder

* `h` is the height of the cylinder

The surface area of a cylinder is the total area of all the surfaces that make up the cylinder. This includes the two circular bases and the lateral surface. The lateral surface is the curved surface that wraps around the cylinder.

To find the surface area of a cylinder, we first need to find the area of each of the circular bases. The area of a circle is πr², where `r` is the radius of the circle. So, the area of each of the circular bases of a cylinder is πr².

We then need to find the area of the lateral surface. The lateral surface is a rectangle with height `h` and width equal to the circumference of the base. The circumference of a circle is 2πr. So, the width of the lateral surface is 2πr.

The area of a rectangle is length x width. So, the area of the lateral surface of a cylinder is 2πrh.

Adding the areas of the two circular bases and the lateral surface, we get the total surface area of the cylinder:

Surface Area = 2πr(r + h)

2. The formula for finding the surface area of a sphere is:

Surface Area = 4πr²

Where:

* `r` is the radius of the sphere

The surface area of a sphere is the total area of all the surfaces that make up the sphere. This includes the entire curved surface of the sphere.

To find the surface area of a sphere, we simply need to square the radius of the sphere and multiply it by π.

For example, if the radius of a sphere is 5 cm, the surface area of the sphere would be:

Surface Area = 4π(5 cm)² = 523.6 cm²

Answer:

The surface area is 70 yards

Step-by-step explanation:

The formula for surface area is (SA)=2lw+2lh+2hw. Meaning it would be 2 times (8 times 3 + 8 times 1 + 3 times 1) which equals 70 yards.

The value that is NOT greater than [-4.2] is D. [-4.5]

The values [-4.2], [3.5], and [4.1] are all greater than [-4.5]. To determine which value is the greatest, we can use a number line or compare the numbers directly. On a number line, we can see that [-4.5] is located to the left of [-4.2], [3.5], and [4.1]. This means that [-4.2], [3.5], and [4.1] are all greater than [-4.5].

Alternatively, we can compare the values directly. We know that -4.5 is less than -4.2 since -4.5 is farther to the left on the number line. We also know that 3.5 and 4.1 are positive values, which are greater than any negative value. Therefore, the answer is [-4.5] is not greater than [-4.2]. Hence, option D is correct.

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Triangle properties include triangle inequality, angle sum, congruence, exterior angle theorem, and isosceles triangle theorem.

1. Triangle Inequality: The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

2. Angle Sum of a Triangle: The sum of the angles of a triangle is always equal to 180°.

3. Congruence of Triangles: If two triangles have all three sides equal, then they are congruent (the same size and shape).

4. Exterior Angle Theorem: The measure of an exterior angle of a triangle is equal to the sum of the measures of the two interior angles that are not adjacent to it.

5. Isosceles Triangle Theorem: If two sides of a triangle are equal in length, then the angles opposite those sides are also equal in measure.

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The five properties of triangle is listed below.

The term triangle is defined as the polygon with three angle, sides and vertices.

Here we have to list down the properties of triangle.

The basic five properties of triangle are as follows:

1) in geometry, total amount of space inside the triangle is called the area of a triangle. And it is measured by square units.

2) The property of perimeter of a triangle is equal to the sum of all three sides of the triangle.

3) And the another property states that sum of the length of the two sides of a triangle is greater than the length of the third side.

4) according to the angle, the property states that sum of the angles of a triangle is always 180 degrees.

5) If angles of an equilateral triangle are equal and has a measure of 60⁰ each.

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Answer:

468

Step-by-step explanation:

2652 blue macaws are there if 2,730 red macaws are living in Brazil.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that the ratio between blue macaws and red macaws that live in Brazil is 272 : 208

We need to find the number of  blue macaws are there if 2,730 red macaws are living in Brazil.

Let x be the number of  blue macaws for 2,730 red macaws are living in Brazil.

Let us form a proportional equation

272/208=x/2730

Apply cross multiplication

272×2730=208x

742560=208x

Divide both sides by 208

2652=x

Hence, 2652 blue macaws are there if 2,730 red macaws are living in Brazil.

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Answer: 64.95

Step-by-step explanation: The formula is (3√3 s2)/2 so using that we can find the answer which is, 64.95

Answer:

7

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

The circumference of the circle is approximately 87.964 cm.

To work out the circumference of a circle, we use the formula:

C = 2πr

Where C is the circumference, π (pi) is a mathematical constant approximately equal to 3.14159, and r is the radius of the circle.

In this case, we are given the radius of the circle as 14cm and π is 3.142. So, we can substitute these values into the formula to get:

C = 2 x 3.142 x 14

C = 87.964

Therefore, the circumference of the circle is approximately 87.964 cm.

The formula for the circumference of a circle, as you mentioned, is C = 2πr. This formula relates the circumference of a circle to its radius, where the radius is the distance from the center of the circle to its edge.

In order to use this formula, you first need to know the value of the radius.

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a sampling method is dependent when the individuals selected for one sample are used to determine the individuals in the second sample

Sampling can be defined as a technique of selecting a subset of the population or  individual members in order to make statistical inferences from them and estimate the entire characteristics of the whole population.

Sampling methods are used by researchers in market research to reduce the workload and also to research the entire population

It is time-friendly, cost-effective method and forms the basis of research design.

Some sampling methods are;

It can be said to be dependent when selecting from one sample affects another sample.

Thus, a sampling method is dependent when the individuals selected for one sample are used to determine the individuals in the second sample.

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The probability that a random student will be taking both Algebra 2 and Chemistry is 0.0136 or 1.36%.

To find the probability that a random student will be taking both Algebra 2 and Chemistry, we need to use the concept of conditional probability.

Let's denote the event of taking Algebra 2 as A and the event of taking Chemistry as C. We are given that P(A) = 0.08 (8% probability of taking Algebra 2) and P(C|A) = 0.17 (17% probability of taking Chemistry given that the student is taking Algebra 2).

The probability of taking both Algebra 2 and Chemistry can be calculated using the formula for conditional probability:

P(A and C) = P(C|A) * P(A)

Substituting the given values:

P(A and C) = 0.17 * 0.08

P(A and C) = 0.0136

Therefore, the probability that a random student will be taking both Algebra 2 and Chemistry is 0.0136 or 1.36%.

It is important to note that the probability of taking both Algebra 2 and Chemistry is determined by the intersection of the two events, which means students who are taking both courses. In this case, the probability is relatively low, as it depends on the individual probabilities of each course and the conditional probability given that a student is taking Algebra 2.

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